1.09 Grade 7 Pre-Algebra

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Teachers: Kevin Pettigrew
Textbook: Pre-Algebra, McDougal Littel, 2005
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Obj #
Unit
Objective:
"The learner will . . ."
Standard(s)
No. of Days
Vocabulary Terms
Resources
Student Learning Activities
Assessment
1
1
evaluate variable and numerical expressions using order of operations, adding, subtracting, multiplying and dividing integers.
7.1.2.b Explain the meaning of multiplication and division
7.1.2.c Explain the meaning of addition, and subtraction of integers.
 8-12 days
variable, expression, evaluate, numerical, power, base, exponent, order of operations, integers, absolute value, opposite, additive inverse, difference
Ch. 1
Daily Assignments
Daily Lesson Quizzes
Quizzes
Tests
2
1
identify and plot points in a coordinate plane.
Daily Assignments
2-4 days
coordinate plane, ordered pair
Ch. 1_1.8
Daily Assignments

3
1
use properties of addition, subtraction, multiplication and division to evaluate and simplify variable expressions involving positive and negative decimals.
7.1.2b: Explain the meaning of multiplication and division
7.1.2c: Explain the meaning of addition, and subtraction of integers.
7.1.3a: Compute accurately with integers
14-18 days
Commutative, Associative, distributive, identity properties, equivalency, coefficient, constant term, like terms, equations, inverse operations,
Ch. 2
Daily Assignments
Daily Lesson Quizzes

Quizzes

Tests
4
1
write, solve and graph equations and inequalities involving addition, subtraction, multiplication, division, parentheses, and like terms.
7.3.1a: Create algebraic expressions
7.3.1b: one-step/one variable equations and inequalities
7.3.1c: Recognize equivalent forms of simple algebraic expressions.
7.3.2a: one-step/one variable expressions and equations
7.3.3a: Additive inverse
7.3.3b: Distributive property
7.3.3c: Evaluate algebraic expressions
7.3.3d: Solve two-step equations
7.3.3e: Solve one-step inequalities
7.3.3f: Identify properties used in solving two-step equations.
14-18 days
inequality, solution of an inequality, equivalent inequality, solve two step equations, operations on equations
Ch 3
Daily Assignments
Daily Lesson Quizzes

Quizzes

Tests
5
2
find factors, including the GCF and LCD, of numbers, monomials, and fractions.
7.1.1e: Find LCM and GCD given two numbers.
14-18 days
Prime Number, Composite Number, Prime Factorization, Factor Tree, Monomial, Common Factor, GCF, Relatively Prime, Equivalent Fractions, Simplest Form, Multiple, Common Mutiple, LCM, LCD, Scientific Notation
Ch 4
Daily Assignments
Daily Lesson Quizzes

Quizzes

Tests
6
2
use the properties of exponents and write numbers in scientific notation.
7.1.1a: Show equivalence among fractions, decimals, and percents
7.1.1b: Compare and order rational numbers
7.1.1c: Represent large numbers using scientific notation.
4-6 days
Rational Number,
Ch 5
Daily Assignments
Daily Lesson Quizzes
Quizzes
Tests
7
2
write, compare and order fractions, as well as solving equations and inequalities involving fractional coefficients.
7.1.1b: Compare and order rational numbers
7.1.3a: Compute accurately with integers
7.3.3d: Solve two-step equations
7.3.3e: Solve one-step inequalities
10-14 days
Terminating Decimal, Repeating Decimal, Reciprocal, Multiplicative Inverse
Ch 5
Daily Assignments
Daily Lesson Quizzes
Quizzes
Tests
8
2
write ratios and proportions and solve those proportions using cross products.
7.1.3a: Compute accurately with integers
8-12 days
Ratio, Equivalent Ratio, Proportion, Cross Product, Similar figures
Ch 6
Daily Assignments
Daily Lesson Quizzes
Quizzes
Tests
9
2
use scales and scale drawings to find distances and measures.
7.2.5c: Recognize the inverse relationship
7.1.4a: check the reasonableness of solutions for problems involving rational numbers
2-4 days
Corresponding Parts, Congruent Figures, Scale Drawing, Scale Model, Scale
Ch 6
Daily Assignments
Daily Lesson Quizzes
Quizzes
Tests
10
2
find the probability of an event and use the counting principle to count possibilities.
7.4.3a: Find the probability of independent events
6-10
Outcomes, Favorable Outcomes, Events, Probability, Theoretical Probability, Experimental Probability, Odds, Tree Diagram, Counting Principle
Ch 6
Daily Assignments
Daily Lesson Quizzes
Quizzes
Tests
11
2
use fractions, decimals and percents to solve problems.
7.1.1a: Show equivalence among fractions, decimals, and percents
7.1.1b: Compare and order rational numbers
7.1.2b: Explain the meaning of multiplication and division
7.1.2c: Explain the meaning of addition, and subtraction of integers.
7.1.3c: Solve problems involving percents.
7.1.4a: check the reasonableness of solutions for problems involving rational numbers
12-16
Percent increase and decrease, markup, discount, interest, principal, simple interest, annual interest rate, balance, compound interest
Ch 7
Daily Assignments
Daily Lesson Quizzes
Quizzes
Tests
12
3
solve and graph linear equations, find slope and intercepts of these equations.
7.2.2b: Identify the quadrant of a given point
7.2.2c: Find the distance between points.
7.3.1b: one-step/one variable
7.3.3d: two-step equations
12-16
relation, domain, range, input, output, function, vertical line, equation in two variables, x & y intercept, slope, rise, run, slope intercept form, best fitting line, function notation,
Ch 8
Daily Assignments
Daily Lesson Quizzes
Quizzes
Tests
13
3
solve linear systems by graphing and graph linear inequalities.
7.2.2b: Identify the quadrant of a given point
7.2.2c: Find the distance between points.
7.3.3e: one-step inequalities
4-8
system of linear equations, solution of a linear system, solution of an equation in two variables, graphing system of equations, linear equations, function form, linear inequality if two variables, solution of a linear inequality in two variables. graphs linear systems and inequalities. half plane.
Ch 8
Daily Assignments
Daily Lesson Quizzes
Quizzes
Tests
14
3
use square roots and simplify radical expressions and use the distance, midpoint, and slope formulas.
7.1.3a: Compute accurately with integers
7.2.2c: Find the distance between points.
7.1.4a: check the reasonableness of solutions for problems involving rational numbers
8-12 days
square root, perfect square, radical expression, simplest form of a radical expression, irrational number, real number, midpoint,
Ch 9
Daily Assignments
Daily Lesson Quizzes
Quizzes
Tests
15
3
use right triangle trigonometry, Pythagorean theorem, and special right triangles to solve for unknown side lengths.
7.2.1,
7.2.5,
7.1.4a: check the reasonableness of solutions for problems involving rational numbers
6-10 days
Hypotenuse, Pythagorean theorem, trigonometric ratio, tangent, sine, cosine,
Ch 9
Daily Assignments
Daily Lesson Quizzes
Quizzes
Tests
16
3
find area of parallelograms and trapezoids, and circumference and area of circles.
7.2.1a: Identify similarities of two-dimensional shapes.
7.2.4a: Identify the shapes that make up the three-dimensional object
7.2.5b: Determine the area of trapezoids and circles, and the circumference of circles.
6-12 days
polygon, quadrilaterals, pentagon, hexagon, heptagon, octagon, trapezoid, parallelogram, circle, radius, diameter, circumference, rhombus, diagonals, formulas for areas of the above
Ch 10
Daily Assignments
Daily Lesson Quizzes
Quizzes
Tests
17
4
make and interpret box-and-whisker plots.
7.4.1a: Analyze data sets and interpret graphical representations.
7.4.1b: Find the mean, median, mode, and range for sets of data.
7.4.2a: Determine if data collected from a sample can be used to make predictions about a population.
2 days
box and whisker plot, quartiles, median, range, extremes.
Ch 11
Daily Assignments
Daily Lesson Quizzes
Quizzes
Tests
18
4
find the probability of disjoint and overlapping events.
7.4.3a: Find the probability of independent events.
7.4.3b: Theoretical and experimental probabilities.
2-4 days
disjoint, overlapping, Venn diagrams, mutually exclusive, permutations, combinations, complementary events, independent events, dependent events.
Ch 11
Daily Assignments
Daily Lesson Quizzes
Quizzes
Tests
19
4
translate, reflect and rotate figures in a coordinate plane.
7.2.3a: Identify lines of symmetry for a reflection.
7.2.3b: Describe positions of shapes under a single transformation on a coordinate plane.
4-6
translation, tessellation, reflection, line of reflection, line of symmetry, rotation, center of rotation, angle of rotation, rotational symmetry, center of dilation, scale factor.
Ch 13
Daily Assignments
Daily Lesson Quizzes
Quizzes
Tests



LA 7.4.1 Information Fluency: Students will evaluate, create and communicate information in a variety of media and formats (textual, visual, and digital).






THE FOLLOWING CHART WILL BE DELETED, AS IT IS REPLACED BY THE PRECEDING INFORMATION.
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 (5)
 (6)
 (7)
 (8)
 (9)
Obj #
 Unit
 Objective:
"The learner will . . ."
 Standard(s)
 No. of Days
 Vocabulary Terms
 Resources
 Student Learning Activities
 Assessment
1
 1
 evaluate variable and numerical expressions using order of operations, adding, subtracting, multiplying and dividing integers.
 8.1.2
 8-12 days
 variable, expression, evaluate, numerical, power, base, exponent, order of operations, integers, absolute value, opposite, additive inverse, difference
 Ch. 1
 Daily Assignments
 Daily Lesson Quizzes

Quizzes

Tests
2
 1
 identify and plot points in a coordinate plane.
2-4 days
 coordinate plane, ordered pair
 Ch. 1_1.8
 Daily Assignments
3
 1
 use properties of addition, subtraction, multiplication and division to evaluate and simplify variable expressions involving positive and negative decimals.
 8.1.2, 8.1.3
 14-18 days
 Commutative, Associative,distributive, identity properties, equivalency, coefficient, constant term, like terms, equations, inverse operations,
 Ch. 2
 Daily Assignments
 Daily Lesson Quizzes

Quizzes

Tests
4
 1
 write, solve and graph equations and inequalities involving addition, subtraction, multiplication, division, parentheses, and like terms.
 8.3.1,
8.3.2,
8.3.3
 14-18 days
 inequality, solution of an inequality, equivalent inequality, solve two step equations, operations on equations
 Ch 3
 Daily Assignments
 Daily Lesson Quizzes

Quizzes

Tests
5
 2
 find factors, including the GCF and LCD, of numbers, monomials, and fractions.
 8.1.1
 14-18 days
 Prime Number, Composite Number, Prime Factorization, Factor Tree, Monomial, Common Factor, GCF, Relatively Prime, Equivalent Fractions, Simplest Form, Multiple, Common Mutiple, LCM, LCD, Scientific Notation
 Ch 4
 Daily Assignments
 Daily Lesson Quizzes

Quizzes

Tests
6
 2
 use the properties of exponents and write numbers in scientific notation.
 8.1.1
 4-6 days
 Rational Number,
 Ch 5
 Daily Assignments
 Daily Lesson Quizzes
Quizzes
Tests
7
 2
 write, compare and order fractions, as well as solving equations and inequalities involving fractional coeffecients.
 8.1.1,
8.1.3,
8.3.3
 10-14 days
 Terminating Decimal, Repeating Decimal, Reciprocal, Multiplicative Inverse
 Ch 5
 Daily Assignments
 Daily Lesson Quizzes
Quizzes
Tests
8
 2
 write ratios and proportions and solve those proportions using cross products.
 8.1.3
 8-12 days
 Ratio, Equivalent Ratio, Proportion, Cross Product, Similar figures
 Ch 6
 Daily Assignments
 Daily Lesson Quizzes
Quizzes
Tests
9
 2
 use scales and scale drawings to find distances and measures.
 8.2.5,
8.1.4
 2-4 days
 Corresponding Parts, Congruent Figures, Scale Drawing, Scale Model, Scale
 Ch 6
 Daily Assignments
 Daily Lesson Quizzes
Quizzes
Tests
10
 2
 find the probability of an event and use the counting principle to count possibilites.
 8.4.3
 6-10
 Outcomes, Favorable Outcomes, Events, Probability, Theoretical Probability, Experimental Probability, Odds, Tree Diagram, Counting Principle
 Ch 6
 Daily Assignments
 Daily Lesson Quizzes
Quizzes
Tests
11
 2
 use fractions, decimals and percents to solve problems.
 8.1.1,
8.1.2,
8.1.3,
8.1.4
 12-16
 Percent increase and decrease, markup, discount, interest, principal, simple interest, annual interest rate, balance, compound interest
 Ch 7
 Daily Assignments
 Daily Lesson Quizzes
Quizzes
Tests
12
 3
 solve and graph linear equations, find slope and intercepts of these equations.
 8.2.2,
8.3.1,
8.3.3
 12-16
 relation, domain, range, input, output, function, vertical line, equation in two variables, x & y intercept, slope, rise, run, slope intercept form, best fitting line, function notation,
 Ch 8
 Daily Assignments
 Daily Lesson Quizzes
Quizzes
Tests
13
 3
 solve linear systems by graphing and graph linear inequalities.
 8.2.2,
8.3.3
 4-8
 system of linear equations, solution of a linear system, solution of an equation in two variables, graphing system of equations, linear equations, function form, linear inequality if two variables, solution of a linear inequality in two variables. graphs linear systems and inequalities.half plane.
 Ch 8
 Daily Assignments
 Daily Lesson Quizzes
Quizzes
Tests
14
 3
 use square roots and simplify radical expressions and use the distance, midpoint, and slope formulas.
 8.1.3,
8.2.2,
8.1.4
 8-12 days
 square root, perfect square, radical expression, simplest form of a radical expression, irrational number, real number, midpoint,
 Ch 9
 Daily Assignments
 Daily Lesson Quizzes
Quizzes
Tests
15
 3
 use right triangle trigonometry, Pythagorean theorem, and special right triangles to solve for unknown side lengths.
 8.2.1,
8.2.5,
8.1.4
 6-10 days
 Hypotenuse, Pythagorean theorem, trigonometric ratio, tangent, sine, cosine,
 Ch 9
 Daily Assignments
 Daily Lesson Quizzes
Quizzes
Tests
16
 3
 find area of parallelograms and trapezoids, and circumference and area of circles.
 8.2.1,
8.2.4,
8.2.5
 6-12 days
 polygon, quadrilaterals, pentagon, hexagon, heptagon, octagon, trapezoid, parallelogram, circle, radius, diameter, circumfrence, rhombus, diagonals, formulas for areas of the above
 Ch 10
 Daily Assignments
 Daily Lesson Quizzes
Quizzes
Tests
17
 4
 make and interpret box-and-whisker plots.
 8.4.1,
8.4.2
 2 days
 box and whisker plot, quartiles, median, range, extremes.
 Ch 11
 Daily Assignments
 Daily Lesson Quizzes
Quizzes
Tests
18
 4
 find the probability of disjoint and overlapping events.
 8.4.3
 2-4 days
 disjoint, overlapping, venn diagrams, mutually exclusive, permutations, combinations, complementary events, independent events, dependent events.
 Ch 11
 Daily Assignments
 Daily Lesson Quizzes
Quizzes
Tests
19
 4
 translate, reflect and rotate figures in a coordinate plane.
 8.2.3
 4-6
 translation, tessellation, reflection, line of reflection, line of symmetry, rotation, center of rotation, angle of rotation, rotational symmetry, center of dilation, scale factor.
 Ch 13
 Daily Assignments
 Daily Lesson Quizzes
Quizzes
Tests



LA 7.4.1 Information Fluency: Students will evaluate, create and communicate information in a variety of media and formats (textual, visual, and digital).